What is it about?

The fuzzy set theory was introduced by L.A. Zadeh in 1965 and since then large number of research papers have been appeared. In recent years, the Fuzzy theory has emerged as the most active area of research in many branches of mathematics and engineering. The object of this paper is to define the intuitionistic Fuzzy I-convergent double sequence spaces defined by Compact Operator and Modulus Function. We study some topological and algebraic properties of these spaces and discuss the Fuzzy topology on them.

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Why is it important?

In this paper, we have studied the concept of Intuitionistic fuzzy I- convergent double sequence spaces defined by compact operator and modulus function. Saddati and Park introduced the concept of intuitionistic fuzzy topological spaces, from these space we get an idea and we de fined some different spaces de fined by bounded linear operator. This study provides a new tools to deal with ideal convergence and it is very useful in many branches of science and engineering. Future work includes a detailed evaluation of these sequence spaces using different operators and functions.

Perspectives

This is very innovative article which deals a new ideal convergence with respect to intuitionistic fuzzy normed spaces. Writing this article was a great pleasure as it has co-authors with whom I have had long standing collaborations. I hope you find this article thought-promoting.

Dr vakeel A khan
Aligarh Muslim University Aliogarh INDIA

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This page is a summary of: Intuitionistic fuzzy I-convergent double sequence spaces defined by compact operator and modulus function, Journal of Intelligent & Fuzzy Systems, November 2017, IOS Press,
DOI: 10.3233/jifs-17741.
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